MATH 1AA3
Mac
Course Overview
Lessons & Practice
I. Welcome
1. Review of Integration
3hr2. Chapter 7: Techniques of Integration
1.5hr3. Chapter 8: Further Applications of Integration
48min4. Chapter 9: Differential Equations
2hr5. Chapter 10: Parametric Equations & Polar Coordanites
2.5hr5.2.1. Tangents/Derivatives of Parametric Curves2 min5.2.2. Example: Tangents5 min5.2.3. Practice (derivatives)2 min5.2.4. Practice (horizontal/vertical tangents)5 min5.2.5. Practice (horizontal/vertical tangents*)6 min5.2.6. Arc Length, Area, and Surface Area2 min5.2.7. Example: Surface Area--Parametric Curve6 min5.2.8. Example: Arc Length4 min5.2.9. Practice (arc length)3 min5.2.10. Practice (area)3 min5.2.11. Practice (surface area)6 min5.2.12. Practice (surface area)5 min
5.4.1. Tangents/Derivatives of Polar Curves2 min5.4.2. Example: Tangents7 min5.4.3. Practice (derivative)4 min5.4.4. Practice (horizontal/vertical tangents)7 min5.4.5. Arc Length, Area Under & Between Curves2 min5.4.6. Example: Area Under Polar Curve2 min5.4.7. Example: Arc Length3 min5.4.8. Practice (arc length)3 min5.4.9. Practice (area inside curve)2 min5.4.10. Practice (area inside curve)4 min5.4.11. Practice (area between curves)8 min
6. Chapter 11: Sequences, Series, & Power Series
5hr6.4.1. Series and Limit Comparison Tests5 min6.4.2. Example: Limit Comparison Test3 min6.4.3. Example: Limit Comparison Test3 min6.4.4. Practice (limit comparison test)2 min6.4.5. Practice (limit comparison test)3 min6.4.6. Practice (telescoping series*)6 min6.4.7. Practice (series comparison test)5 min6.4.8. Practice (series comparison test)2 min6.4.9. Practice (telescoping series*)3 min
6.10.1. Representing Functions as Power Series2 min6.10.2. Example: Power Series Representation5 min6.10.3. Practice2 min6.10.4. Practice2 min6.10.5. Practice (w/ partial fractions)7 min6.10.6. Differentiation and Integration of Power Series3 min6.10.7. Example: Differentiating a Power Series3 min6.10.8. Example: Integrating a Power Series4 min6.10.9. Practice (differentiating power series)4 min6.10.10. Practice (integrating power series)4 min6.10.11. Practice (integrating power series*)8 min
6.11.1. Taylor and Maclaurin Series6 min6.11.2. Example: Taylor Series7 min6.11.3. Practice (Taylor series)7 min6.11.4. Common Maclaurin Series (Memorize!)*5 min6.11.5. Example: Maclaurin Series4 min6.11.6. Practice (Maclaurin series)2 min6.11.7. Practice (Maclaurin series)3 min6.11.8. Practice (Maclaurin series of an integral)2 min6.11.9. Practice (evaluating a series*)3 min
7. Chapter 14: Partial Derivatives (Multivariable Functions)
2.2hr8. Chapter 15: Multiple Integrals
1.1hrI Welcome
Free Activity
Welcome to Calculus for Science II!
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